What is the Least Common Multiple of 28804 and 28817?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 28804 and 28817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28804 and 28817, than apply into the LCM equation.

GCF(28804,28817) = 1
LCM(28804,28817) = ( 28804 × 28817) / 1
LCM(28804,28817) = 830044868 / 1
LCM(28804,28817) = 830044868

Least Common Multiple (LCM) of 28804 and 28817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28804 and 28817. First we will calculate the prime factors of 28804 and 28817.

Prime Factorization of 28804

Prime Factorization of 28817

Now multiplying the highest exponent prime factors to calculate the LCM of 28804 and 28817.

LCM(28804,28817) = 2² × 19¹ × 379¹ × 28817¹
LCM(28804,28817) = 830044868